{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:IIBS5NN6NTBGHFBUDOI75ZWSCG","short_pith_number":"pith:IIBS5NN6","canonical_record":{"source":{"id":"0908.2514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-08-18T08:09:34Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ba70bf475982a43f23af59605043b70bd8ebcf150369195f63153e469b437bfc","abstract_canon_sha256":"4e4313380131f97336c5c53bdd87e0892246288a443db6f04a55de8c67f81250"},"schema_version":"1.0"},"canonical_sha256":"42032eb5be6cc26394341b91fee6d211b3617f15ee6cf9c6b637096876bef059","source":{"kind":"arxiv","id":"0908.2514","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2514","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2514v2","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2514","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"IIBS5NN6NTBG","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IIBS5NN6NTBGHFBU","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IIBS5NN6","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:IIBS5NN6NTBGHFBUDOI75ZWSCG","target":"record","payload":{"canonical_record":{"source":{"id":"0908.2514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-08-18T08:09:34Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ba70bf475982a43f23af59605043b70bd8ebcf150369195f63153e469b437bfc","abstract_canon_sha256":"4e4313380131f97336c5c53bdd87e0892246288a443db6f04a55de8c67f81250"},"schema_version":"1.0"},"canonical_sha256":"42032eb5be6cc26394341b91fee6d211b3617f15ee6cf9c6b637096876bef059","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:57.758604Z","signature_b64":"ZxKGndGXikwSb2Z8wbl1FNC+w1XYf3H+/ympFfsB6WOoJsZlVQfb7/wwjkWMsHmS7/DleUiqT7vlCv+BZXGRDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42032eb5be6cc26394341b91fee6d211b3617f15ee6cf9c6b637096876bef059","last_reissued_at":"2026-05-18T03:55:57.757971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:57.757971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.2514","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PCTjCwbnw06r/D9wEuhfBK1G0Pfj1cft+1UDbIB7L0WZq33qB3ktJVNHnmG8TxZYBPjkNUBYWEg9ASZVbRwqAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:21:44.478038Z"},"content_sha256":"8a2d5faa6893e10fc263a3496111e64b31556bd07a86c0dd9766390341ae92a0","schema_version":"1.0","event_id":"sha256:8a2d5faa6893e10fc263a3496111e64b31556bd07a86c0dd9766390341ae92a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:IIBS5NN6NTBGHFBUDOI75ZWSCG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radon needlet thresholding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Dominique Picard (LPMA), Erwan Le Pennec (LPMA, Gerard Kerkyacharian (LPMA), INRIA Saclay - Ile de France, LM-Orsay)","submitted_at":"2009-08-18T08:09:34Z","abstract_excerpt":"We provide a new algorithm for the treatment of the noisy inversion of the Radon transform using an appropriate thresholding technique adapted to a well-chosen new localized basis. We establish minimax results and prove their optimality. In particular, we prove that the procedures provided here are able to attain minimax bounds for any $\\mathbb {L}_p$ loss. It s important to notice that most of the minimax bounds obtained here are new to our knowledge. It is also important to emphasize the adaptation properties of our procedures with respect to the regularity (sparsity) of the object to recove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2514","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oZsW4LuVcSCuGigdtOvoCqPghO7Gixybw/UkkvRaMyDtLodWFXg6Y7mIvS9zA5ClukbrdOMtC6KnrBCed2UBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:21:44.478725Z"},"content_sha256":"1e4b6776d9fdcf9bbe97afe880efe175bb422991991e403badc6586a6b084996","schema_version":"1.0","event_id":"sha256:1e4b6776d9fdcf9bbe97afe880efe175bb422991991e403badc6586a6b084996"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG/bundle.json","state_url":"https://pith.science/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T21:21:44Z","links":{"resolver":"https://pith.science/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG","bundle":"https://pith.science/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG/bundle.json","state":"https://pith.science/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IIBS5NN6NTBGHFBUDOI75ZWSCG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:IIBS5NN6NTBGHFBUDOI75ZWSCG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4e4313380131f97336c5c53bdd87e0892246288a443db6f04a55de8c67f81250","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-08-18T08:09:34Z","title_canon_sha256":"ba70bf475982a43f23af59605043b70bd8ebcf150369195f63153e469b437bfc"},"schema_version":"1.0","source":{"id":"0908.2514","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2514","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2514v2","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2514","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"IIBS5NN6NTBG","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IIBS5NN6NTBGHFBU","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IIBS5NN6","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:1e4b6776d9fdcf9bbe97afe880efe175bb422991991e403badc6586a6b084996","target":"graph","created_at":"2026-05-18T03:55:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We provide a new algorithm for the treatment of the noisy inversion of the Radon transform using an appropriate thresholding technique adapted to a well-chosen new localized basis. We establish minimax results and prove their optimality. In particular, we prove that the procedures provided here are able to attain minimax bounds for any $\\mathbb {L}_p$ loss. It s important to notice that most of the minimax bounds obtained here are new to our knowledge. It is also important to emphasize the adaptation properties of our procedures with respect to the regularity (sparsity) of the object to recove","authors_text":"Dominique Picard (LPMA), Erwan Le Pennec (LPMA, Gerard Kerkyacharian (LPMA), INRIA Saclay - Ile de France, LM-Orsay)","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-08-18T08:09:34Z","title":"Radon needlet thresholding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2514","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8a2d5faa6893e10fc263a3496111e64b31556bd07a86c0dd9766390341ae92a0","target":"record","created_at":"2026-05-18T03:55:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4e4313380131f97336c5c53bdd87e0892246288a443db6f04a55de8c67f81250","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-08-18T08:09:34Z","title_canon_sha256":"ba70bf475982a43f23af59605043b70bd8ebcf150369195f63153e469b437bfc"},"schema_version":"1.0","source":{"id":"0908.2514","kind":"arxiv","version":2}},"canonical_sha256":"42032eb5be6cc26394341b91fee6d211b3617f15ee6cf9c6b637096876bef059","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42032eb5be6cc26394341b91fee6d211b3617f15ee6cf9c6b637096876bef059","first_computed_at":"2026-05-18T03:55:57.757971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:57.757971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZxKGndGXikwSb2Z8wbl1FNC+w1XYf3H+/ympFfsB6WOoJsZlVQfb7/wwjkWMsHmS7/DleUiqT7vlCv+BZXGRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:57.758604Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.2514","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a2d5faa6893e10fc263a3496111e64b31556bd07a86c0dd9766390341ae92a0","sha256:1e4b6776d9fdcf9bbe97afe880efe175bb422991991e403badc6586a6b084996"],"state_sha256":"c5788e4e7d20751ff68c9f3ad36d01411956632f228faf2388be10b820296964"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kvlQGkp7RzFpD4XVY/tUBOOwnRdHVr2fDwLXMsrN6MAF+DmQzIyoIkMNl0nJM55XZ6Q+FLEN4bWL/Sk7QnG5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:21:44.482245Z","bundle_sha256":"e39a33d58d3300b16cf49fd3992bdac69bddbc498c075c7257a7eb904d19fa24"}}